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Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Nov;72(5 Pt 2):055701. Epub 2005 Nov 16.

Maximally fast coarsening algorithms.

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  • 1Department of Physics and Atmospheric Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5. mowei.cheng@nist.gov


We present maximally fast numerical algorithms for conserved coarsening systems that are stable and accurate with a growing natural time step Deltat=At2/3s. We compare the scaling structure obtained from our maximally fast conserved systems directly against the standard fixed time-step Euler algorithm, and find that the error scales as square root of A--so arbitrary accuracy can be achieved. For nonconserved systems, only effectively finite time steps are accessible for similar unconditionally stable algorithms.

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